The Length of a Direct Sum of Nonassociative Algebras

A. E. Guterman; D. K. Kudryavtsev; O. V. Markova

doi:10.1007/s10958-020-04929-4

The Length of a Direct Sum of Nonassociative Algebras

A. E. Guterman, D. K. Kudryavtsev, O. V. Markova

Research output: Contribution to journal › Article › peer-review

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Abstract

A lower and an upper bounds for the length of a direct sum of nonassociative algebras are obtained, and their sharpness is established. Note that while the lower bound for the length of a direct sum in the associative and nonassociative cases turns out to be the same, the upper bound in the nonassociative case significantly exceeds its associative counterpart.

Original language	English
Pages (from-to)	158-166
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	249
Issue number	2
DOIs	https://doi.org/10.1007/s10958-020-04929-4
State	Published - 1 Aug 2020
Externally published	Yes

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© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

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The Length of a Direct Sum of Nonassociative Algebras

Abstract

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